Temperature at 1000 hPa = 4.642857143

1000 A Xr r r 1 =

Coefficient of Determination = 0.965517241

Sample Covariance = 35

A Xr r 3 K = E A U r 3 ,

AU3 - A X1 - A Xr 1 F\

E A U3 , 1 F=

uLogarithmic, Exponential, Power, and InverseRegression

•Use the same key operations as linear regression to re- call results for these types of regression.

•The following shows the regression formulas for each type of regression.

Logarithmic Regression

y  A  B ￿ In x

Exponential Regression

y  A ￿ eB·x (In y  In A + Bx)

Power Regression

y  A ￿ xB (In y  In A + BIn x)

Inverse Regression

y  A  B ￿ 1/x

uQuadratic Regression

• The regression formula for quadratic regression is:

y = A + Bx + Cx2.

•Example:

xi yi

291.6

5023.5

7438.0

10346.4

11848.0

Perform quadratic regression to determine the regression formula terms for the data nearby. Next, use the regression formula to estimate the values for n (estimated value of y) for xi = 16 and m (estimated value of x) for yi = 20.

In the REG Mode:

r3(Quad)

AB1(Scl) =(Stat clear)

29 P 1.6 S50 P23.5 S

74 P38.0 S103 P46.4 S

118 P48.0 S

31